Question

The surface area of two sphere are in the ratio 16:9.The ratio of their volume is?

Answer 1

Let the radii of spheres be a and b

According to question,

A1 / A2 = 16/9

=> 4 pi a^2 / 4 pi b^2 = 16 / 9

=> a^2 / b^2 = 16 / 9

=> a/b = 4/3

Now,

V1 / V2 = 4/3 pi a^3 / 4/3 pi b^3

=> V1 / V2 = a^3 / b^3

=> V1 / V2 = (4 /3)^3

=> V1 / V2 = 64/ 27

=> V1 : V2 = 64 : 27

Answer 2

Step-by-step explanation:

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